How Many Tissues Should a Package of Tissues Contain? Researchers $\bar { x } = 31 , s = 18$

question 30

Multiple Choice

How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 40 tissues during a cold. Suppose a random sample of 10,000 people yielded the following data on the number of tissues used during a cold: $\bar { x } = 31 , s = 18$ using the sample information provided, set up the calculation for the test statistic for the relevant hypothesis test, but do not simplify.

• A) \(z = \frac { 31 - 40 } { \frac { 18 } { \sqrt { 10,000 } } }\)
• B) \(z = \frac { 31 - 40 } { \frac { 18 } { 10,000 ^ { 2 } } }\)
• C) \(z = \frac { 31 - 40 } { 18 }\)
• D) \(z = \frac { 31 - 40 } { \frac { 18 ^ { 2 } } { 10,000 } }\)

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Definitions:

Degrees of Freedom

The count of independent figures or measures that can be designated to a statistical distribution.

Distribution

The way in which something is shared out or spread across a range of values, areas, or people.

Null Hypothesis

A statistical hypothesis that assumes there is no significant difference or effect, serving as a default position until evidence suggests otherwise.

Independent Samples

Independent samples refer to sets of data collected from distinct, non-overlapping groups or populations, where the performance or measurement in one group does not influence the other.